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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 159120bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 159120.eq1 | 159120bb1 | \([0, 0, 0, -777, -9929]\) | \(-4447738624/1077375\) | \(-12566502000\) | \([]\) | \(138240\) | \(0.65639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159120bb do not have complex multiplication.Modular form 159120.2.a.bb
sage: E.q_eigenform(10)